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    In the series below, different letters stand for various mathematical operations and symbols as indicated:P : +Q : –R : ×S : ÷T : =U : >V : <Cho
    Question

    In the series below, different letters stand for various mathematical operations and symbols as indicated:
    P : +
    Q : –
    R : ×
    S : ÷
    T : =
    U : >
    V : <
    Choose the option which is correct according to the given operations and symbols.

    A.

    15 T 3 Q 4 P 4 Q 5

    B.

    15 U 3 R 4 P 5 P 4

    C.

    15 P 3 Q 4 R 4 T 5

    D.

    15 S 3 R 4 T 4 R 5

    Correct option is D

    Given:
    Letter
    Sign
    P
    +
    Q
    -
    R
    ×\times
    S
    ÷\div​​​
    T
    =
    U
    >
    V
    <
    Logic: BODMAS
    Operation preference wiseSymbolBrackets[],,()Orders, of(power),(root),ofDivision÷Multiplication×Addition+Subtraction\begin{array}{|c|c|} \hline\textbf{Operation preference wise} & \textbf{Symbol} \\\hline\text{Brackets} &[],{}, () \\ \hline \text{Orders, of} & (power), √ (root) , of \\ \hline \text{Division}& ÷ \\ \hline \text{Multiplication} & × \\ \hline \text{Addition} & + \\ \hline \text{Subtraction} & - \\\hline\end{array}​​
    Let's analyze all the options:
    (a) 15 T 3 Q 4 P 4 Q 5 (Incorrect)
    Substituting the symbols:
    15 = 3 − 4 + 4 − 5
    15 =7 - 4 - 5
    15\ne - 2
    (b) 15 U 3 R 4 P 5 P 4 (Incorrect)
    Substituting the symbols:
    15 > 3 × 4 + 5 + 4
    15 > 12 + 5 + 4
    15 ≯ 21
    (c) 15 P 3 Q 4 R 4 T 5 (Incorrect)
    Substituting the symbols:
    15 + 3 − 4 × 4 = 5
    15 + 3 − 16 = 5
    18  − 16 = 5
    \ne 5​
    (d) 15 S 3 R 4 T 4 R 5  (Correct)
    Substituting the symbols:
    15 ÷ 3 × 4 = 4 × 5
    5  × 4 = 4 × 5
    20  = 20 (Satisfied)
    Thus, the correct option is (d) 15 S 3 R 4 T 4 R 5

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